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Finding the Third Proportional to 249,128 and 539,728

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Solution

The third proportional to 249,128 and 539,728 is: 1,169,303.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,128 : 539,728 = 539,728 : x
  2. Step 2: Convert to fraction form
    249,128/539,728 = 539,728/x
  3. Step 3: Cross multiply
    249,128x = 539,728 × 539,728
  4. Step 4: Simplify right side
    249,128x = 291,306,313,984
  5. Step 5: Solve for x
    x = 291,306,313,984/249,128
  6. Step 6: Final answer
    x = 1,169,303.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.